How many feet of fencing does john need to buy to enclose this area?

For this answer, you need to calculate the perimeter of his backyard. His yard is a rectangle with 12.5 yd by 5.5 yd, so the four sides of the rectangle would be 5.5, 12.5, 12.5, and 5.5. Those numbers add up to 36, so we can say that John needs 36 sq yards of fencing. (sq = square, which comes from multiplying yards times yards.) But wait, let's translate this into feet instead. There are 3 feet in a yard, so 36 sq yd = 108 sq ft. Therefore the answer is 108.

Technically speaking, histograms are another version of bar charts, if you need to work one out then skim through google hope-o that -o!

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

 

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.